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sin2xsin5xsin3xdx =

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a
13log sin3x-log sin5x+c
b
13log sin3x+15log sin5x+c
c
13log sin3x-15log sin5x+c
d
3log sin3x-5log sin5x+c

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detailed solution

Correct option is C

∫sin2xsin5xsin3xdx =∫sin(5x-3x)sin5xsin3xdx  =∫sin5xcos3x-cos5xsin3xsin5xsin3xdx  =∫(cot3x-cot5x)dx =13logsin3x-15logsin5x+c


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